← Theoretical / proof-based

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In this program

Rings: definitions and examples (Z, polynomial rings, matrix rings)
Integral domains, fields, and ideals
Quotient rings and ring homomorphisms
Polynomial rings
Field extensions
Constructibility (introduction)

Rings and fields

Quotient rings and ring homomorphisms

Abstract algebra · Theoretical / proof-based

Topic

Quotient rings and ring homomorphisms

Practice by unit: Rings and fields

Undergraduate Abstract Algebra — scope drawn from open algebra texts (e.g. Judson Abstract Algebra: Theory and Applications, AIM-approved) and typical US undergraduate algebra syllabi.

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